Search a number
-
+
505241540 = 225194728289
BaseRepresentation
bin11110000111010…
…101111111000100
31022012200221002122
4132013111333010
52013320212130
6122045025112
715343324256
oct3607257704
91265627078
10505241540
1123a2174a1
12121255198
138089babb
144b15bcd6
152e5512e5
hex1e1d5fc4

505241540 has 48 divisors (see below), whose sum is σ = 1140652800. Its totient is φ = 187379712.

The previous prime is 505241533. The next prime is 505241557. The reversal of 505241540 is 45142505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3716 + ... + 32004.

It is an arithmetic number, because the mean of its divisors is an integer number (23763600).

Almost surely, 2505241540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505241540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570326400).

505241540 is an abundant number, since it is smaller than the sum of its proper divisors (635411260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505241540 is a wasteful number, since it uses less digits than its factorization.

505241540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28364 (or 28362 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 505241540 is about 22477.5786062467. The cubic root of 505241540 is about 796.4643658840.

The spelling of 505241540 in words is "five hundred five million, two hundred forty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 47 76 94 95 188 190 235 380 470 893 940 1786 3572 4465 8930 17860 28289 56578 113156 141445 282890 537491 565780 1074982 1329583 2149964 2659166 2687455 5318332 5374910 6647915 10749820 13295830 25262077 26591660 50524154 101048308 126310385 252620770 505241540